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Simplifying (3v + -1)(4v + -3) = 0 Reorder the terms: (-1 + 3v)(4v + -3) = 0 Reorder the terms: (-1 + 3v)(-3 + 4v) = 0 Multiply (-1 + 3v) * (-3 + 4v) (-1(-3 + 4v) + 3v * (-3 + 4v)) = 0 ((-3 * -1 + 4v * -1) + 3v * (-3 + 4v)) = 0 ((3 + -4v) + 3v * (-3 + 4v)) = 0 (3 + -4v + (-3 * 3v + 4v * 3v)) = 0 (3 + -4v + (-9v + 12v2)) = 0 Combine like terms: -4v + -9v = -13v (3 + -13v + 12v2) = 0 Solving 3 + -13v + 12v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -3v)(3 + -4v) = 0Subproblem 1
Set the factor '(1 + -3v)' equal to zero and attempt to solve: Simplifying 1 + -3v = 0 Solving 1 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3v = 0 + -1 -3v = 0 + -1 Combine like terms: 0 + -1 = -1 -3v = -1 Divide each side by '-3'. v = 0.3333333333 Simplifying v = 0.3333333333Subproblem 2
Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75Solution
v = {0.3333333333, 0.75}
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